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If z=(1)/(2)-2i is such that |z+1|=alpha...

If `z=(1)/(2)-2i` is such that `|z+1|=alpha z+beta(1+i),i=sqrt(-1)` and `alpha,beta in R` ,then `alpha+beta` is equal to

A

2

B

-4

C

3

D

-1

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